Shot placement and bullet selection are much more important than caliber unless you intend to harvest them for the hide. At that point the lighter calibers with lighter bullets seem to excel in my experience. I've only had one ever run on me and that was a ways out with the 204. Found him dead a hundred yards south of where I shot him. The rest have gone pretty peacefully with everything from a 22 long rifle to my 25-06.
My 223 with 40 grain Max has taken more by a factor of ten than all my other rifles put together.
So many coyotes....so little time....